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ECE 201, Section 3
Lecture 40
Prof. Peter Bermel
pbermel@purdue.edu
December 5, 2012
Final Exam
• Friday, December 14 from 3:30-5:30 pm in EE 129
• Review sessions:
– Fri., Dec. 7 from 6:30-7:30 pm in MATH 175
– Wed., Dec. 12 from 4:30-5:30 pm in ARMS 1010
• Office hours will be held MWF 12:30-1:30 pm
(including Dec. 14) in EE 331A & by appointment
• TA office hours will be M-F, 8:30 am-4:30 pm,
including December 14 (until 2:30 pm)
12/5/2012 ECE 201-3, Prof. Bermel
Ideal Op-Amps
• Golden rules:
– Both input currents are zero
– For closed loops: both input voltages are equal
12/5/2012 ECE 201-3, Prof. Bermel
�� = 0�� = 0
�� = ��
Effective Values
• We can generally define effective values for
periodic signals, � � + = �(�), such that:
��� = 1 � �� �(�) �
����
��• Also known as root-mean-square (rms) value
• For AC signals, ��� = ���
12/5/2012 ECE 201-3, Prof. Bermel
Average Power for SSS
12/5/2012 ECE 201-3, Prof. Bermel
Over half-integer periods, only the first term contributes, so that:
���� = �� cos�
Complex Power
• Complex power is defined as:
� = ∗"• For AC signals:
� = �#�$%��#$(%��&)� = ��#$& = �� cos� + ' sin �
• Key definitions:� Re S – average power
� Im S – reactive power
� |S| – apparent power
� cos� – power factor
12/5/2012 ECE 201-3, Prof. Bermel
Maximum Power Transfer
• For a source with impedance *+ = ,+ + '-+, maximum power is transferred when load impedance *. = * +∗– Resistances are equal: ,. = ,+– Reactances are opposite: -. = −-+
• Magnitude of maximum power transfer:
�0�1 = � +,����4,+
12/5/2012 ECE 201-3, Prof. Bermel
Vin
'-++
-
,+
'-.
,.
Final Exam: Spring 2010
12/5/2012 ECE 201-3, Prof. Bermel
12/5/2012 ECE 201-3, Prof. Bermel
Final Exam: Spring 2010
12/5/2012 ECE 201-3, Prof. Bermel
Final Exam: Spring 2010
12/5/2012 ECE 201-3, Prof. Bermel
Final Exam: Spring 2010
12/5/2012 ECE 201-3, Prof. Bermel
Final Exam: Spring 2010
12/5/2012 ECE 201-3, Prof. Bermel
Final Exam: Spring 2010
12/5/2012 ECE 201-3, Prof. Bermel
Final Exam: Spring 2010
12/5/2012 ECE 201-3, Prof. Bermel
Final Exam: Spring 2010
12/5/2012 ECE 201-3, Prof. Bermel
Final Exam: Spring 2010
12/5/2012 ECE 201-3, Prof. Bermel
Final Exam: Spring 2010
12/5/2012 ECE 201-3, Prof. Bermel
Final Exam: Spring 2010
12/5/2012 ECE 201-3, Prof. Bermel
Final Exam: Spring 2010
12/5/2012 ECE 201-3, Prof. Bermel
Final Exam: Spring 2010
Homework
• HW #39 due today at 4:30 pm in EE 325B
• HW #40 (last one!) due Fri.: DeCarlo & Lin,
Chapter 11:
– Problem 30
– Problem 32 [Correction: In ANSWER: change 250 watts
to 4000 watts.]
12/5/2012 ECE 201-3, Prof. Bermel
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